Question

convert 120 degrees to radians. (1 point)

→ (\frac{2pi}{3})

→ (\frac{3pi}{4})

→ (\frac{pi}{2})

→ (\frac{5pi}{6})

Explanation:

Step1: Recall the conversion formula

To convert degrees to radians, we use the formula: \( \text{radians} = \text{degrees} \times \frac{\pi}{180} \)

Step2: Substitute the given degree value

We have 120 degrees, so substitute into the formula: \( 120 \times \frac{\pi}{180} \)

Step3: Simplify the expression

Simplify \( \frac{120\pi}{180} \) by dividing numerator and denominator by 60: \( \frac{2\pi}{3} \)

Answer:

\( \frac{2\pi}{3} \) (corresponding to the first option: \( \boldsymbol{\frac{2\pi}{3}} \))